Finding the Third Proportional to 85,122 and 185,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,122 : 185,188.50 = 185,188.50 : x
2. Step 2: Convert to fraction form
   85,122/185,188.50 = 185,188.50/x
3. Step 3: Cross multiply
   85,122x = 185,188.50 × 185,188.50
4. Step 4: Simplify right side
   85,122x = 34,294,780,532.25
5. Step 5: Solve for x
   x = 34,294,780,532.25/85,122
6. Step 6: Final answer
   x = 402,889.74